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Math Help - Ciclre/Trig Help please ????

  1. #1
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    Ciclre/Trig Help please ????

    Please help, I have my exam on Friday and really need to know how to solve the 2003 Standard Grade Paper, Question 10.

    question: A sheep shelter is part of a cylinder thats is 6 meters
    wide and 2 meters high. The cross section of the shelter is a segment
    of a circle with centre, O. Calculate the radius of the circle?
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  2. #2
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    Circle Attachment

    Maybe this pic will help?
    Attached Thumbnails Attached Thumbnails Ciclre/Trig Help please ????-q10.jpg  
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  3. #3
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    And the next step (I Think!)

    I think this is the right direction ?
    Attached Thumbnails Attached Thumbnails Ciclre/Trig Help please ????-q10-2.jpg  
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  4. #4
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    Quote Originally Posted by kenj
    Maybe this pic will help?
    Hello,

    I've attached your diagram with additional lines.

    You see a right triangle with the hypotenuse of 2r. Then the half chord is the height in the right triangle.

    In a right triangle the product of the two parts of the hypotenuse equals the square of the height:
    2\cdot (2r-2)=3^2 \Longleftrightarrow 4r-4=9 \Longleftrightarrow r = \frac{13}{4}

    Greetings

    EB
    Attached Thumbnails Attached Thumbnails Ciclre/Trig Help please ????-sheep.gif  
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  5. #5
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    Many thanks.
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  6. #6
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    Quote Originally Posted by kenj
    Please help, I have my exam on Friday and really need to know how to solve the 2003 Standard Grade Paper, Question 10.

    question: A sheep shelter is part of a cylinder thats is 6 meters
    wide and 2 meters high. The cross section of the shelter is a segment
    of a circle with centre, O. Calculate the radius of the circle?
    Use the intersecting chord theorem.

    In this case it tell us that:

    <br />
3\times 3=2\times(2r-2)<br />

    where r is the radius of the circle.

    RonL
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  7. #7
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    Many thanks for your help. Thanks to your posts I also completed it just by using Pythagoros. Such that:

    3sq + (r-2)sq = rsq

    So 9 + rsq -2r 2r + 4 = rsq

    13 = 4r

    r = 13 / 4 = 3.25
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